Optimized aerodynamic profile for a turbine vane, in particular for a nozzle of a turbine

ABSTRACT

When cold and in the non-coated state, the aerodynamic profile is substantially identical to a nominal profile determined by the Cartesian coordinates X,Y, Zadim given in Table 1, in which the coordinate Zadim is the quotient D/H where D is the distance of the point under consideration from a first reference plane P0 situated at the base of the nominal profile, and H is the height of said profile measured from the first reference plane to a second reference plane P1. The measurements D and H are taken radially relative to the axis of the turbine, while the X coordinate is measured in the axial direction of the turbine.

CROSS-REFERENCE TO RELATED APPLICATION

This application claims the benefit of priority to U.S. PatentApplication No. 62/504,553, filed on May 11, 2017, the entirety of whichis incorporated by reference herein.

INTRODUCTION

The present disclosure relates to an aerodynamic profile for a turbinevane.

In particular, the disclosure relates to the aerodynamic profile of anozzle vane forming a portion of the stator of a gas turbine, and moreparticularly of a low pressure turbine of the type used in a turbojet ofan aircraft.

The disclosure relates in particular to a nozzle vane of a turbinehaving a plurality of stages, preferably five stages.

Such a profile should enable the turbine to provide the desiredefficiency, and in order to do that it must be such that the flow of airaround the profile is sound over the working spectrum of the turbine,i.e. substantially such that it does not give rise to turbulence, whichis harmful for overall efficiency.

It must be capable of being installed properly in the environment of theengine, and in particular, for a nozzle vane forming a portion of thestator of the turbine, it must be capable of being fastened easily tothe sectors of the foot platform (the zone of the vane that is furthestfrom the axis of rotation of the turbine) and of the head platform (thezone that is closest to said axis). Furthermore, this part must presenta profile enabling it to be manufactured in a reliable andcost-effective manner by available manufacturing methods, such ascasting, forging, machining, additive fabrication, or else weaving,without this list being limitative.

Furthermore, the profile of the vane must enable it to withstand themechanical stresses, to which the vane is subjected, by enabling thosestresses to be spread over the entire vane in such a manner as to avoidpremature wear thereof. This spreading must apply both in static modeand in dynamic mode.

An object of the disclosure is to propose an aerodynamic profile for aturbine vane that is optimized, and capable of satisfying thoseobjectives.

This object is achieved by the fact that when cold and in a non-coatedstate, said profile is substantially identical to a nominal profiledetermined by the Cartesian coordinates X,Y,Zadim given in Table 1, inwhich the coordinate Zadim is the quotient D/H where D is the distanceof the point P under consideration from a reference X,Y plane situatedat the base of the nominal profile, and H is the height of said profilemeasured from said reference plane that is the intersection of thestacking axis of the vane and the axisymmetric surface of the hub, outto a second reference plane that is the intersection of said stackingaxis with the axisymmetric surface of the casing, the measurements D andH being taken radially relative to the axis of the turbine, while thecoordinate X is measured in the axial direction of the turbine.

This profile has been determined as a result of numerous tests andsimulations. It is defined cold, i.e. at an ambient temperature of 20°C. That is a reference temperature at which the profile is geometricallydetermined. The above-mentioned objectives of aerodynamics andmechanical optimization are naturally valid for the conditions of use ofthis aerodynamic profile, i.e. when hot, at a temperature that isstabilized when the engine of which the turbine forms a part is beingused under cruising conditions.

Furthermore, the aerodynamic profile of the disclosure is defined in thenon-coated state. Since turbine vanes are subjected to high temperaturegradients, it is common practice for them to be provided with a coatinghaving thermal properties enabling them more easily to withstand suchtemperature variations. The profile is determined prior to installingsuch a coating.

It is stated above that the profile of the disclosure is “substantiallyidentical” to the nominal profile. This means that the profile maydepart very slightly from said nominal profile.

The aerodynamic profile is thus preferably defined within an envelope of±1 millimeter (mm) in a direction normal to the surface of the nominalprofile.

It is also preferable for the X,Y coordinates of the aerodynamic profileto lie within a range of ±5% relative to the X,Y coordinates of thenominal profile.

In addition, the aerodynamic profile may be positioned rotated within±10°, particularly within ±5°, more particularly within ±3°, withrespect to the radial axis of the vane, along which the coordinate Zadimis measured.

These variations take account in particular to at least one ofmanufacturing tolerances of the profile, the setting of the profile toadapt to the environment when in operation, and possible deformationoccurring when mounting the vane and integrating the same in the nozzle.

With a nozzle vane, i.e. a portion of the stator of a turbine, theprofile serves to orient the fluid correctly for the turbine blades thatare situated downstream, and that belong in particular to the rotarywheel of the same stage of the turbine.

BRIEF DESCRIPTION OF THE DRAWINGS

The disclosure can be better understood and its advantages appear betteron reading the following detailed description of an embodiment given byway of non-limiting example. The description refers to the accompanyingdrawings, in which:

FIG. 1 is a fragmentary axial diagrammatic section view of a turbineincluding a vane of profile that corresponds to that of the presentdisclosure;

FIG. 2 shows a vane of the turbine.

DETAILED DESCRIPTION

The turbine shown in axial section in FIG. 1 comprises five stagesreferenced respectively S1 to S5. In the direction DF going fromupstream to downstream, each stage comprises a nozzle that forms aportion of the stator of the turbine and that has a plurality ofradially-oriented vanes, and a rotary wheel that forms a portion of therotor of the turbine and that likewise includes a plurality ofradially-oriented blades.

In FIG. 1, the vanes of the nozzles of stages S1 to S5 are givenreferences N1 to N5 (these vanes are shown in dashed lines, for ease ofrepresentation), whereas the blades of rotary wheels of stages S1 to S5are given respective references W1 to W5.

In known manner, the vanes of the nozzles are fastened at both ends tostationary structure portions, while the blades of the rotary wheels arefastened to a rotary disk via their roots that are formed at theirradially-inner ends closer to the axis of the rotation A of the turbine.The disks forming parts of the wheels W1 to W5 are constrained to rotatetogether.

The disclosure relates a vane of one of the nozzles of the turbine that,as mentioned above, preferably comprises five stages as shown, withoutthis number being limiting.

As best seen in FIG. 2, via its foot 10, which is its end remote fromthe axis of rotation A, the vane is fastened to the outer ring of theturbine, which ring is stationary in rotation. Via its head 14, formedby its end closer to the axis of rotation A, the vane is fastened to aninner shroud of the turbine. By convention, the aerodynamic profile 18of the vane is the entire portion of said vane that extends radiallyoutwards from its head 14 to its foot 10 without incorporating thefastenings respectively to the outer ring and to the inner shroud.

In FIG. 2, there can be seen a frame of reference comprising Cartesiancoordinates X,Y,Z. The radial direction Z is the height direction of thevane, which extends radially from its head to its foot. This direction Zis perpendicular to the axial direction X which is the direction of theaxis of rotation A of the turbine. The direction Y is perpendicular tothe X,Z plane and is therefore tangential to the direction of rotationof the turbine.

The nominal profile from which the aerodynamic profile of the disclosureis determined is defined in following Table 1 of coordinates, in whichthe coordinate Zadim, measured along the axis Z is non-dimensional,whereas the dimensions X and Y, respectively measured along the axes Xand Y, are expressed in millimeters.

TABLE 1 X Y Zadim −14.6484 −1.71963 −0.15 −14.6626 −1.77394 −0.15−14.6656 −1.85547 −0.15 −14.636 −1.97786 −0.15 −14.5541 −2.133 −0.15−14.4094 −2.31067 −0.15 −14.2004 −2.50601 −0.15 −13.9278 −2.71782 −0.15−13.5906 −2.9438 −0.15 −13.1878 −3.18055 −0.15 −12.7186 −3.42377 −0.15−12.1824 −3.66687 −0.15 −11.5792 −3.90258 −0.15 −10.9103 −4.12313 −0.15−10.1779 −4.31952 −0.15 −9.38528 −4.48207 −0.15 −8.53734 −4.60072 −0.15−7.64047 −4.66468 −0.15 −6.70287 −4.66166 −0.15 −5.73537 −4.57697 −0.15−4.75223 −4.39588 −0.15 −3.77154 −4.10549 −0.15 −2.81304 −3.70102 −0.15−1.89404 −3.18861 −0.15 −1.027 −2.58182 −0.15 −0.2181 −1.8991 −0.150.529406 −1.15759 −0.15 1.217763 −0.37598 −0.15 1.850831 0.429447 −0.152.433004 1.244755 −0.15 2.968475 2.0582 −0.15 3.461236 2.85963 −0.153.915193 3.640115 −0.15 4.333458 4.392168 −0.15 4.718367 5.109506 −0.155.071657 5.786847 −0.15 5.394442 6.419947 −0.15 5.687356 7.005428 −0.155.951249 7.540502 −0.15 6.187314 8.02296 −0.15 6.39619 8.451604 −0.156.577689 8.826427 −0.15 6.73326 9.14756 −0.15 6.863492 9.416348 −0.156.969494 9.634942 −0.15 7.051999 9.806612 −0.15 7.06293 9.948483 −0.157.024698 10.04015 −0.15 6.98329 10.08718 −0.15 6.943994 10.11497 −0.156.904683 10.13268 −0.15 6.849803 10.14445 −0.15 6.761304 10.13531 −0.156.653494 10.06726 −0.15 6.570201 9.918344 −0.15 6.470881 9.724702 −0.156.347821 9.487124 −0.15 6.199466 9.203988 −0.15 6.023198 8.875196 −0.155.81767 8.500751 −0.15 5.58037 8.082191 −0.15 5.309203 7.621646 −0.155.002591 7.12173 −0.15 4.658932 6.58587 −0.15 4.276787 6.018169 −0.153.854941 5.423305 −0.15 3.392504 4.80654 −0.15 2.888747 4.173744 −0.152.343178 3.531389 −0.15 1.755408 2.886718 −0.15 1.12572 2.247274 −0.150.455093 1.62083 −0.15 −0.25491 1.015535 −0.15 −1.00181 0.439558 −0.15−1.78217 −0.09908 −0.15 −2.59208 −0.59179 −0.15 −3.42635 −1.03045 −0.15−4.27815 −1.40857 −0.15 −5.13944 −1.72101 −0.15 −6.00116 −1.96473 −0.15−6.85337 −2.13979 −0.15 −7.68617 −2.24882 −0.15 −8.49019 −2.29688 −0.15−9.25716 −2.29109 −0.15 −9.98019 −2.24045 −0.15 −10.6542 −2.15569 −0.15−11.2758 −2.04795 −0.15 −11.8437 −1.92923 −0.15 −12.3574 −1.80979 −0.15−12.8175 −1.69846 −0.15 −13.225 −1.6028 −0.15 −13.5811 −1.52929 −0.15−13.8871 −1.48452 −0.15 −14.143 −1.4714 −0.15 −14.3471 −1.49317 −0.15−14.495 −1.5464 −0.15 −14.5849 −1.61459 −0.15 −14.7017 −0.84489 −0.075−14.723 −0.89803 −0.075 −14.737 −0.98006 −0.075 −14.7241 −1.10786 −0.075−14.6617 −1.27558 −0.075 −14.5383 −1.47407 −0.075 −14.3518 −1.6984−0.075 −14.1018 −1.94647 −0.075 −13.7872 −2.21559 −0.075 −13.4066−2.50247 −0.075 −12.9583 −2.80177 −0.075 −12.4415 −3.1076 −0.075−11.8553 −3.41211 −0.075 −11.1996 −3.70569 −0.075 −10.4754 −3.97749−0.075 −9.68502 −4.21498 −0.075 −8.83237 −4.40395 −0.075 −7.92384−4.52943 −0.075 −6.96863 −4.57633 −0.075 −5.97908 −4.52989 −0.075−4.97109 −4.37586 −0.075 −3.9638 −4.10428 −0.075 −2.97816 −3.71106−0.075 −2.03258 −3.20336 −0.075 −1.13913 −2.59758 −0.075 −0.30401−1.91324 −0.075 0.47122 −1.16998 −0.075 1.188922 −0.3867 −0.075 1.8537360.419495 −0.075 2.470274 1.234432 −0.075 3.042372 2.046512 −0.0753.573684 2.845639 −0.075 4.067491 3.623044 −0.075 4.526324 4.371336−0.075 4.95199 5.084317 −0.075 5.345247 5.757032 −0.075 5.70615 6.385662−0.075 6.034593 6.967076 −0.075 6.331651 7.498203 −0.075 6.5977427.977108 −0.075 6.833354 8.402604 −0.075 7.038439 8.774607 −0.075 7.21429.093329 −0.075 7.361359 9.360088 −0.075 7.481139 9.577023 −0.0757.574638 9.747324 −0.075 7.596812 9.890755 −0.075 7.563349 9.986375−0.075 7.523631 10.03644 −0.075 7.484895 10.06661 −0.075 7.44650310.08598 −0.075 7.392329 10.10005 −0.075 7.303751 10.09485 −0.0757.19349 10.03149 −0.075 7.102156 9.88791 −0.075 6.992024 9.700885 −0.0756.855959 9.471354 −0.075 6.692436 9.1977 −0.075 6.49909 8.879828 −0.0756.273338 8.518577 −0.075 6.012805 8.115613 −0.075 5.715305 7.673364−0.075 5.379285 7.194656 −0.075 5.003542 6.682914 −0.075 4.5867876.142447 −0.075 4.128022 5.578102 −0.075 3.626856 4.995114 −0.0753.082885 4.399497 −0.075 2.496249 3.797587 −0.075 1.86768 3.196031−0.075 1.19813 2.602102 −0.075 0.489379 2.023049 −0.075 −0.255861.465913 −0.075 −1.03386 0.937204 −0.075 −1.8401 0.443005 −0.075−2.66989 −0.01011 −0.075 −3.51776 −0.41601 −0.075 −4.37741 −0.76932−0.075 −5.24164 −1.06602 −0.075 −6.10243 −1.30408 −0.075 −6.95134−1.48347 −0.075 −7.78007 −1.60525 −0.075 −8.58068 −1.67081 −0.075−9.34549 −1.6831 −0.075 −10.0674 −1.64668 −0.075 −10.7404 −1.5689 −0.075−11.3599 −1.45871 −0.075 −11.9233 −1.32687 −0.075 −12.4296 −1.18449−0.075 −12.8799 −1.04258 −0.075 −13.2762 −0.91175 −0.075 −13.6218−0.80179 −0.075 −13.919 −0.71923 −0.075 −14.1698 −0.67033 −0.075−14.3743 −0.66094 −0.075 −14.5278 −0.69262 −0.075 −14.6248 −0.74956−0.075 −14.6056 −1.70814 0 −14.6279 −1.76221 0 −14.6434 −1.84574 0−14.6335 −1.97651 0 −14.5717 −2.14845 0 −14.4477 −2.35232 0 −14.2587−2.58261 0 −14.0038 −2.83629 0 −13.6818 −3.11015 0 −13.2911 −3.40033 0−12.8307 −3.70176 0 −12.2993 −4.00782 0 −11.6964 −4.31013 0 −11.0217−4.59781 0 −10.276 −4.85822 0 −9.46213 −5.07647 0 −8.58465 −5.2351 0−7.65171 −5.31604 0 −6.67531 −5.30242 0 −5.67132 −5.17953 0 −4.6591−4.93585 0 −3.66024 −4.56578 0 −2.69672 −4.0702 0 −1.7877 −3.45818 0−0.94285 −2.75037 0 −0.16592 −1.96827 0 0.545588 −1.13386 0 1.19696−0.26649 0 1.794912 0.617137 0 2.346488 1.5028 0 2.857049 2.379191 03.330222 3.237189 0 3.769482 4.068644 0 4.177988 4.866363 0 4.5572275.624668 0 4.908169 6.338711 0 5.231344 7.004538 0 5.527299 7.618775 05.793511 8.180217 0 6.031933 8.686258 0 6.242999 9.135777 0 6.4268469.528613 0 6.584395 9.865195 0 6.716331 10.14689 0 6.823744 10.37598 06.9077 10.55571 0 6.92424 10.70296 0 6.884398 10.79842 0 6.84050810.84671 0 6.798819 10.87455 0 6.759101 10.89094 0 6.704044 10.90077 06.6162 10.88882 0 6.511524 10.81677 0 6.42951 10.66783 0 6.33102810.47462 0 6.209509 10.23731 0 6.063649 9.954149 0 5.891487 9.624671 05.689154 9.250201 0 5.453671 8.832565 0 5.183146 8.373829 0 4.8755657.876941 0 4.529446 7.345341 0 4.143089 6.783425 0 3.715369 6.195951 03.24571 5.588098 0 2.733766 4.9656 0 2.179217 4.334932 0 1.5825173.702741 0 0.944752 3.07586 0 0.267537 2.461354 0 −0.44637 1.865794 0−1.19244 1.294199 0 −1.96616 0.75185 0 −2.76257 0.243799 0 −3.57635−0.22518 0 −4.40149 −0.65125 0 −5.23142 −1.03173 0 −6.0591 −1.36526 0−6.87758 −1.65105 0 −7.68037 −1.88769 0 −8.46186 −2.07065 0 −9.21596−2.19494 0 −9.93546 −2.25791 0 −10.6124 −2.262 0 −11.2394 −2.21613 0−11.8113 −2.13212 0 −12.3255 −2.02348 0 −12.7817 −1.90357 0 −13.1816−1.785 0 −13.5281 −1.679 0 −13.8243 −1.59387 0 −14.074 −1.54033 0−14.2779 −1.52507 0 −14.4313 −1.55655 0 −14.5284 −1.61327 0 −14.6052−1.45341 0.100003 −14.6333 −1.50645 0.100003 −14.6579 −1.59018 0.100003−14.6616 −1.72485 0.100003 −14.6166 −1.90706 0.100003 −14.5093 −2.127470.100003 −14.3365 −2.38 0.100003 −14.0963 −2.66056 0.100003 −13.787−2.96539 0.100003 −13.4071 −3.29025 0.100003 −12.9551 −3.62969 0.100003−12.4294 −3.97658 0.100003 −11.8287 −4.32184 0.100003 −11.1521 −4.653220.100003 −10.3993 −4.95557 0.100003 −9.57209 −5.21043 0.100003 −8.67513−5.39595 0.100003 −7.71774 −5.48886 0.100003 −6.71493 −5.46778 0.100003−5.68689 −5.31754 0.100003 −4.657 −5.02941 0.100003 −3.64942 −4.602840.100003 −2.68703 −4.04388 0.100003 −1.78594 −3.36929 0.100003 −0.95438−2.60106 0.100003 −0.19225 −1.76355 0.100003 0.505324 −0.87919 0.1000031.144853 0.033186 0.100003 1.733581 0.957556 0.100003 2.279367 1.8799010.100003 2.787003 2.789685 0.100003 3.259269 3.678449 0.100003 3.6998244.538035 0.100003 4.111037 5.361675 0.100003 4.494194 6.143749 0.1000034.849973 6.879486 0.100003 5.178525 7.565047 0.100003 5.478249 8.1980180.100003 5.749443 8.775778 0.100003 5.992591 9.296389 0.100003 6.2078889.758828 0.100003 6.395719 10.16281 0.100003 6.556631 10.50897 0.1000036.691381 10.79868 0.100003 6.801075 11.03429 0.100003 6.886961 11.219060.100003 6.908985 11.36966 0.100003 6.869469 11.46829 0.100003 6.82425911.51778 0.100003 6.781056 11.54579 0.100003 6.740324 11.56163 0.1000036.684074 11.57015 0.100003 6.59517 11.55506 0.100003 6.492193 11.476930.100003 6.409474 11.32504 0.100003 6.308611 11.12885 0.100003 6.18440610.88775 0.100003 6.035623 10.59992 0.100003 5.860599 10.26471 0.1000035.65602 9.883119 0.100003 5.419206 9.456754 0.100003 5.148566 8.9874660.100003 4.842237 8.478014 0.100003 4.4989 7.93166 0.100003 4.1168547.352669 0.100003 3.694968 6.745673 0.100003 3.232494 6.115839 0.1000032.728723 5.469008 0.100003 2.183083 4.811697 0.100003 1.596087 4.1503180.100003 0.968215 3.492063 0.100003 0.300892 2.843992 0.100003 −0.403412.212835 0.100003 −1.14082 1.604325 0.100003 −1.90695 1.023938 0.100003−2.69712 0.477104 0.100003 −3.50601 −0.03139 0.100003 −4.3281 −0.496720.100003 −5.15661 −0.91636 0.100003 −5.98412 −1.28948 0.100003 −6.80423−1.61371 0.100003 −7.61196 −1.88277 0.100003 −8.40175 −2.08969 0.100003−9.16698 −2.22697 0.100003 −9.8989 −2.29076 0.100003 −10.5875 −2.285360.100003 −11.2237 −2.22074 0.100003 −11.8015 −2.11142 0.100003 −12.3182−1.97395 0.100003 −12.7741 −1.82433 0.100003 −13.171 −1.67455 0.100003−13.5131 −1.53737 0.100003 −13.805 −1.42287 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3.239651 0.699999−14.6156 3.242723 0.699999 −14.736 3.195574 0.699999 −14.979 0.0575950.800001 −15.0054 −0.00078 0.800001 −15.0285 −0.091 0.800001 −15.0326−0.23468 0.800001 −14.9899 −0.43036 0.800001 −14.8791 −0.66733 0.800001−14.6945 −0.93663 0.800001 −14.4347 −1.23304 0.800001 −14.0987 −1.552110.800001 −13.6852 −1.88894 0.800001 −13.1906 −2.23428 0.800001 −12.6127−2.5775 0.800001 −11.9498 −2.90464 0.800001 −11.2011 −3.19754 0.800001−10.368 −3.43287 0.800001 −9.45687 −3.5841 0.800001 −8.48022 −3.621780.800001 −7.45906 −3.51816 0.800001 −6.42163 −3.25496 0.800001 −5.39793−2.82934 0.800001 −4.41287 −2.25319 0.800001 −3.4813 −1.5494 0.800001−2.60888 −0.74365 0.800001 −1.79558 0.140233 0.800001 −1.03766 1.0809410.800001 −0.3294 2.059907 0.800001 0.335185 3.061375 0.800001 0.9600554.072848 0.800001 1.547919 5.083781 0.800001 2.102971 6.083662 0.8000012.62816 7.063487 0.800001 3.124239 8.015996 0.800001 3.592293 8.934280.800001 4.033506 9.811953 0.800001 4.447666 10.64386 0.800001 4.83436911.42549 0.800001 5.193369 12.15294 0.800001 5.524006 12.82314 0.8000015.825474 13.43383 0.800001 6.097477 13.98333 0.800001 6.339534 14.470860.800001 6.551507 14.89638 0.800001 6.733593 15.26075 0.800001 6.88637715.56555 0.800001 7.010924 15.81333 0.800001 7.10876 16.0075 0.8000017.155313 16.16309 0.800001 7.122466 16.2716 0.800001 7.076665 16.326540.800001 7.0312 16.35739 0.800001 6.984878 16.37523 0.800001 6.92069316.38268 0.800001 6.821587 16.35682 0.800001 6.719997 16.25096 0.8000016.621274 16.08114 0.800001 6.495121 15.86468 0.800001 6.34064 15.59820.800001 6.156889 15.27937 0.800001 5.943407 14.9067 0.800001 5.70014114.47934 0.800001 5.42731 13.99727 0.800001 5.125427 13.46114 0.8000014.794982 12.87239 0.800001 4.436686 12.23308 0.800001 4.050969 11.546120.800001 3.638368 10.81495 0.800001 3.199184 10.04378 0.800001 2.7326619.237926 0.800001 2.238931 8.402712 0.800001 1.717407 7.544394 0.8000011.165909 6.670732 0.800001 0.583365 5.789358 0.800001 −0.03134 4.9085440.800001 −0.68095 4.038448 0.800001 −1.3681 3.190244 0.800001 −2.093672.37498 0.800001 −2.85829 1.605008 0.800001 −3.6621 0.894385 0.800001−4.50324 0.257955 0.800001 −5.37676 −0.28962 0.800001 −6.27381 −0.735140.800001 −7.18144 −1.06856 0.800001 −8.08311 −1.28498 0.800001 −8.96027−1.38621 0.800001 −9.79469 −1.38257 0.800001 −10.5714 −1.29124 0.800001−11.2804 −1.13376 0.800001 −11.9172 −0.9322 0.800001 −12.4815 −0.70810.800001 −12.9763 −0.47975 0.800001 −13.4062 −0.26216 0.800001 −13.7769−0.06762 0.800001 −14.0945 0.093271 0.800001 −14.3661 0.208365 0.800001−14.5973 0.256995 0.800001 −14.7764 0.231462 0.800001 −14.8892 0.1668440.800001 −15.0696 0.044819 0.899997 −15.0928 −0.01481 0.899997 −15.1116−0.10585 0.899997 −15.1101 −0.24935 0.899997 −15.0605 −0.44304 0.899997−14.9424 −0.67591 0.899997 −14.7501 −0.93913 0.899997 −14.4849 −1.229810.899997 −14.1435 −1.54195 0.899997 −13.7231 −1.86871 0.899997 −13.2212−2.20154 0.899997 −12.6356 −2.52904 0.899997 −11.9646 −2.83629 0.899997−11.2081 −3.10446 0.899997 −10.3691 −3.31143 0.899997 −9.45479 −3.431110.899997 −8.47909 −3.43787 0.899997 −7.4624 −3.31019 0.899997 −6.42999−3.03486 0.899997 −5.40697 −2.61246 0.899997 −4.41357 −2.05476 0.899997−3.46231 −1.38123 0.899997 −2.55917 −0.61315 0.899997 −1.70542 0.2288340.899997 −0.8992 1.125766 0.899997 −0.13682 2.060576 0.899997 0.5856823.018559 0.899997 1.270365 3.988088 0.899997 1.919552 4.958405 0.8999972.536393 5.91911 0.899997 3.122602 6.861488 0.899997 3.678295 7.7783780.899997 4.204432 8.662643 0.899997 4.70147 9.508027 0.899997 5.16866410.30954 0.899997 5.605536 11.06258 0.899997 6.01145 11.76335 0.8999976.385502 12.40886 0.899997 6.726715 12.99694 0.899997 7.034656 13.525940.899997 7.308706 13.99517 0.899997 7.548698 14.40461 0.899997 7.75487814.75511 0.899997 7.927886 15.04823 0.899997 8.068928 15.28647 0.8999978.179713 15.47313 0.899997 8.237914 15.62445 0.899997 8.213647 15.7350.899997 8.172204 15.79315 0.899997 8.129237 15.82725 0.899997 8.0842115.84854 0.899997 8.020517 15.86065 0.899997 7.919464 15.84191 0.8999977.810363 15.74307 0.899997 7.699599 15.58003 0.899997 7.55829 15.372110.899997 7.385139 15.1161 0.899997 7.179033 14.80972 0.899997 6.93939714.45155 0.899997 6.666093 14.04073 0.899997 6.359379 13.57722 0.8999976.019691 13.0617 0.899997 5.647766 12.49547 0.899997 5.244287 11.880680.899997 4.810195 11.22 0.899997 4.345957 10.51705 0.899997 3.8524519.775817 0.899997 3.329487 9.001562 0.899997 2.777194 8.199836 0.8999972.195929 7.376602 0.899997 1.584465 6.539442 0.899997 0.941926 5.6962680.899997 0.268255 4.854991 0.899997 −0.4379 4.025263 0.899997 −1.178083.21786 0.899997 −1.95255 2.443623 0.899997 −2.76043 1.71365 0.899997−3.60068 1.040641 0.899997 −4.47064 0.437855 0.899997 −5.36506 −0.081890.899997 −6.27562 −0.50721 0.899997 −7.19076 −0.82951 0.899997 −8.09601−1.04456 0.899997 −8.97524 −1.15382 0.899997 −9.81242 −1.16565 0.899997−10.5939 −1.09464 0.899997 −11.3101 −0.95933 0.899997 −11.9559 −0.78060.899997 −12.5308 −0.57875 0.899997 −13.0367 −0.3713 0.899997 −13.4777−0.17316 0.899997 −13.8591 0.002892 0.899997 −14.1868 0.145336 0.899997−14.4667 0.24155 0.899997 −14.7016 0.272274 0.899997 −14.8791 0.233330.899997 −14.987 0.160224 0.899997 −15.1981 −0.64584 1 −15.2129 −0.707951 −15.2198 −0.80048 1 −15.2011 −0.94248 1 −15.1293 −1.12867 1 −14.985−1.34567 1 −14.7667 −1.58694 1 −14.474 −1.84867 1 −14.1036 −2.12429 1−13.6536 −2.40705 1 −13.1224 −2.68813 1 −12.5082 −2.9549 1 −11.811−3.19245 1 −11.0326 −3.3817 1 −10.1784 −3.50135 1 −9.25853 −3.52851 1−8.28851 −3.44257 1 −7.28846 −3.2286 1 −6.28035 −2.88083 1 −5.28429−2.40325 1 −4.31568 −1.80776 1 −3.38427 −1.11082 1 −2.49575 −0.32936 1−1.65194 0.519295 1 −0.85177 1.418477 1 −0.09263 2.352895 1 0.628293.309141 1 1.311769 4.276688 1 1.960945 5.244274 1 2.577852 6.20229 13.163914 7.142207 1 3.719739 8.056576 1 4.2461 8.938375 1 4.7434529.781357 1 5.210783 10.58069 1 5.64799 11.33157 1 6.054348 12.03026 16.428916 12.6738 1 6.770721 13.26 1 7.079333 13.78722 1 7.35413714.25478 1 7.594885 14.6627 1 7.801822 15.01183 1 7.975538 15.30377 18.11721 15.54101 1 8.228512 15.72686 1 8.288226 15.87725 1 8.26567415.98794 1 8.225055 16.0465 1 8.182597 16.08106 1 8.13763 16.10296 18.073795 16.11579 1 7.972156 16.09785 1 7.861914 15.99935 1 7.74979815.83624 1 7.607102 15.62798 1 7.432211 15.37157 1 7.22395 15.06477 16.981716 14.70615 1 6.705304 14.2949 1 6.394983 13.83097 1 6.05107413.31512 1 5.674377 12.74862 1 5.265359 12.13377 1 4.825293 11.47304 14.354224 10.77036 1 3.853392 10.02952 1 3.322746 9.255724 1 2.7622888.454667 1 2.172117 7.632553 1 1.551959 6.796358 1 0.901272 5.953794 10.219594 5.113127 1 −0.49324 4.283057 1 −1.23835 3.473903 1 −2.016072.696375 1 −2.82455 1.960224 1 −3.6623 1.276899 1 −4.52655 0.658252 1−5.4124 0.115613 1 −6.31243 −0.34103 1 −7.2166 −0.70405 1 −8.11251−0.96939 1 −8.98621 −1.13752 1 −9.82346 −1.21467 1 −10.6115 −1.21273 1−11.3405 −1.14766 1 −12.0044 −1.03756 1 −12.6008 −0.90116 1 −13.1301−0.75491 1 −13.5944 −0.61297 1 −13.997 −0.48694 1 −14.342 −0.38855 1−14.6354 −0.34086 1 −14.873 −0.35331 1 −15.0399 −0.42729 1 −15.1334−0.51868 1 −15.2374 −1.71686 1.075002 −15.2423 −1.7805 1.075002 −15.2354−1.873 1.075002 −15.1966 −2.01082 1.075002 −15.0997 −2.18519 1.075002−14.9284 −2.38138 1.075002 −14.6824 −2.59421 1.075002 −14.3596 −2.817471.075002 −13.9584 −3.04572 1.075002 −13.4778 −3.27198 1.075002 −12.9167−3.48684 1.075002 −12.2753 −3.67838 1.075002 −11.5549 −3.8304 1.075002−10.7597 −3.9245 1.075002 −9.89763 −3.94106 1.075002 −8.98128 −3.859991.075002 −8.02746 −3.66543 1.075002 −7.05581 −3.34764 1.075002 −6.08507−2.90713 1.075002 −5.13147 −2.35039 1.075002 −4.20667 −1.68964 1.075002−3.3182 −0.93938 1.075002 −2.47146 −0.11348 1.075002 −1.66836 0.773211.075002 −0.90812 1.705817 1.075002 −0.18851 2.670449 1.075002 0.4924653.655005 1.075002 1.136428 4.64877 1.075002 1.745896 5.641339 1.0750022.323754 6.622913 1.075002 2.871074 7.585439 1.075002 3.389138 8.5212651.075002 3.878877 9.423479 1.075002 4.340799 10.28597 1.075002 4.77460811.1036 1.075002 5.180417 11.87154 1.075002 5.557611 12.58606 1.0750025.905372 13.24415 1.075002 6.22283 13.84361 1.075002 6.509625 14.382751.075002 6.765227 14.86085 1.075002 6.989304 15.27797 1.075002 7.18205415.63496 1.075002 7.343966 15.93346 1.075002 7.476094 16.17603 1.0750027.579936 16.36606 1.075002 7.634537 16.51831 1.075002 7.608847 16.628281.075002 7.566416 16.6855 1.075002 7.522881 16.71866 1.075002 7.47699416.73916 1.075002 7.41244 16.74983 1.075002 7.311039 16.72806 1.0750027.204083 16.62496 1.075002 7.097792 16.45686 1.075002 6.962853 16.242041.075002 6.797465 15.97762 1.075002 6.600512 15.66132 1.075002 6.37140315.2917 1.075002 6.109903 14.86799 1.075002 5.816301 14.39012 1.0750025.490757 13.85896 1.075002 5.134071 13.27578 1.075002 4.746397 12.643051.075002 4.329168 11.96315 1.075002 3.882105 11.24013 1.075002 3.40583510.47814 1.075002 2.900935 9.681908 1.075002 2.366746 8.857442 1.0750021.803103 8.011015 1.075002 1.21004 7.149253 1.075002 0.586544 6.2800091.075002 −0.0677 5.411245 1.075002 −0.75324 4.551686 1.075002 −1.470843.711015 1.075002 −2.2206 2.899218 1.075002 −3.00111 2.125919 1.075002−3.81065 1.40151 1.075002 −4.64668 0.736909 1.075002 −5.5048 0.1425171.075002 −6.37845 −0.37248 1.075002 −7.25876 −0.80096 1.075002 −8.13483−1.13866 1.075002 −8.99433 −1.38477 1.075002 −9.82402 −1.54431 1.075002−10.6116 −1.62673 1.075002 −11.3468 −1.64589 1.075002 −12.0224 −1.617641.075002 −12.6343 −1.55814 1.075002 −13.181 −1.48375 1.075002 −13.663−1.40805 1.075002 −14.0819 −1.3429 1.075002 −14.4401 −1.30184 1.075002−14.7387 −1.30611 1.075002 −14.9704 −1.36593 1.075002 −15.1197 −1.472171.075002 −15.195 −1.57986 1.075002 −15.2159 −2.78082 1.149997 −15.2112−2.84457 1.149997 −15.1913 −2.93531 1.149997 −15.1342 −3.06687 1.149997−15.0154 −3.22751 1.149997 −14.8207 −3.40121 1.149997 −14.5501 −3.582541.149997 −14.2022 −3.76559 1.149997 −13.7762 −3.94494 1.149997 −13.2715−4.11352 1.149997 −12.6883 −4.26178 1.149997 −12.0279 −4.37737 1.149997−11.2936 −4.44518 1.149997 −10.4916 −4.44765 1.149997 −9.632 −4.365181.149997 −8.72908 −4.18175 1.149997 −7.80018 −3.88557 1.149997 −6.86373−3.47152 1.149997 −5.93524 −2.94443 1.149997 −5.02657 −2.31402 1.149997−4.14602 −1.59255 1.149997 −3.30029 −0.79178 1.149997 −2.49387 0.0760551.149997 −1.72964 0.998872 1.149997 −1.00767 1.963757 1.149997 −0.325862.957737 1.149997 0.317149 3.969707 1.149997 0.92289 4.989366 1.1499971.494136 6.0065 1.149997 2.033569 7.011719 1.149997 2.543061 7.9967341.149997 3.024113 8.953978 1.149997 3.477978 9.876546 1.149997 3.90553510.75828 1.149997 4.306907 11.59391 1.149997 4.681928 12.37884 1.1499975.030525 13.10913 1.149997 5.352001 13.78175 1.149997 5.645575 14.394421.149997 5.910981 14.94547 1.149997 6.147765 15.4341 1.149997 6.35551115.86041 1.149997 6.53437 16.22526 1.149997 6.684729 16.53033 1.1499976.807523 16.77823 1.149997 6.904066 16.97245 1.149997 6.953873 17.12661.149997 6.925334 17.23604 1.149997 6.88112 17.29205 1.149997 6.8365117.32388 1.149997 6.789659 17.34299 1.149997 6.72434 17.35149 1.1499976.623156 17.32572 1.149997 6.519613 17.21781 1.149997 6.419064 17.044671.149997 6.291793 16.82326 1.149997 6.135791 16.55078 1.149997 5.95000216.22491 1.149997 5.733847 15.84422 1.149997 5.487061 15.40792 1.1499975.209934 14.91599 1.149997 4.902475 14.36935 1.149997 4.565476 13.769311.149997 4.198773 13.11847 1.149997 3.803967 12.41916 1.149997 3.37990311.67584 1.149997 2.928032 10.89217 1.149997 2.447824 10.07345 1.1499971.939123 9.225327 1.149997 1.401708 8.353976 1.149997 0.834804 7.4664421.149997 0.237554 6.570321 1.149997 −0.39066 5.673616 1.149997 −1.050044.784634 1.149997 −1.74118 3.912588 1.149997 −2.46415 3.067055 1.149997−3.21774 2.257401 1.149997 −4.00021 1.493352 1.149997 −4.80868 0.7845681.149997 −5.63924 0.14073 1.149997 −6.48587 −0.42983 1.149997 −7.34074−0.92039 1.149997 −8.19423 −1.32656 1.149997 −9.0354 −1.64675 1.149997−9.85209 −1.88436 1.149997 −10.6323 −2.04766 1.149997 −11.3659 −2.148231.149997 −12.0447 −2.19925 1.149997 −12.6634 −2.21606 1.149997 −13.2189−2.21497 1.149997 −13.71 −2.20982 1.149997 −14.1368 −2.21175 1.149997−14.4992 −2.23095 1.149997 −14.7954 −2.28246 1.149997 −15.0137 −2.384361.149997 −15.1414 −2.51733 1.149997 −15.1965 −2.63773 1.149997 −15.2131−2.72187 1.149997

In the above Table 1, the plane Zadim=0 corresponds to the referenceplane P0 situated at the base of the profile. This plane P0 is theintersection of the stacking axis AE of the set of vanes with theaxisymmetric surface of the hub, i.e. it passes via the intersectionbetween the axis AE and the surface where it is assembled with the innershroud. The plane Zadim=1 corresponds to the reference plane P1 situatedat the top of the profile. This plane P1 is the intersection between theaxis AE and the axisymmetric surface of the casing, i.e. it passes viathe intersection of the axis AE with the surface where it is assembledwith the outer ring.

By convention, the stacking axis AE of a vane of a nozzle, is an axisthat extends in the radial direction Z and is an axis on which thevarious X,Y sections of the set of vanes are “stacked” when designingthe set of vanes.

As mentioned at the beginning of the present description, theaerodynamic profile of the disclosure is substantially identical to thenominal profile defined in the above table, i.e. it departs from saidnominal profile by very little at most, being defined in particularwithin an envelope of ±1 mm in a direction normal to the surface of thenominal profile, and/or having X,Y coordinates lying within a range of±5% relative to the coordinates X,Y of the nominal profile. Also, theaerodynamic profile is positioned rotated within ±10°, particularlywithin ±5°, more particularly within ±3°, with respect to the stackingaxis of the vane. In other words, the stagger angle may vary by ±10°,particularly by ±5°, more particularly by ±3°.

The coordinate Zadim is non-dimensional, i.e. for a point P, situated ata distance D from the plane P0 (where D is measured along the axis Z),the value of Zadim is D/H, where H represents the total height of theprofile as measured between the planes P0 and P1. Naturally, in theTable 1 above, by multiplying the coordinate Zadim by the height H, itis possible to obtain the complete coordinates of the vane.

By way of example, the total height H is preferably about 145 mm±10%. Byway of example, the plane P0 is situated at a distance of about 405mm±10% from the axis A.

In the above table, the profile is characterized by fifteen sectionplanes at constant Zadim coordinates, for which the coordinates X and Yare specified. These fifteen section planes include fifteen sectionplanes located between Zadim=0 and Zadim=1, and thus arranged in thefluid stream, these section planes being distributed from P0 to P1. Thefifteen section planes also include four section planes which aresubstantially outside the fluid stream (two section planes with Zadim<0,and two section planes with Zadim>1), these four section planes beingprovided for ensuring geometric continuity of the stacking, close to thehead and the foot, respectively. In each section plane at constantcoordinate Zadim, the section of the profile is given by a continuousand smooth curve, interconnecting all of the points (X,Y). In eachsection plane, the profile is interpolated so as to generate a uniformprofile. Between the section planes, the profile is to be interpolatedso as to generate a complete vane, as homogeneous as possible.

It is advantageous for the nozzle that includes the vane of thedisclosure to have 135 to 155 vanes, more particularly 145 vanes, thatpresent aerodynamic profiles as defined above.

What is claimed is:
 1. An aerodynamic profile for a turbine vane, theprofile being, when cold and in a non-coated state, substantiallyidentical to a nominal profile determined by the Cartesian coordinatesX,Y,Zadim given in Table 1, in which the coordinate Zadim is thequotient D/H, where D is the distance of the point under considerationfrom a reference X,Y plane situated at the base of the nominal profile,and H is the height of said profile measured from said reference planeout to the end of the vane, the measurements D and H being takenradially relative to the axis of the turbine, while the coordinate X ismeasured in the axial direction of the turbine.
 2. The aerodynamicprofile as claimed in claim 1, wherein said profile is defined within anenvelope of ±1 mm in a direction normal to the surface of the nominalprofile.
 3. The aerodynamic profile as claimed in claim 1, wherein thecoordinates X,Y of said profile lie within a range of ±5% relative tothe coordinates X,Y of the nominal profile.
 4. The aerodynamic profileas claimed in claim 1, wherein the aerodynamic profile is positionedrotated within ±10° with respect to the radial axis of the vane, alongwhich the coordinate Zadim is measured.
 5. The aerodynamic profile asclaimed in claim 1, wherein the aerodynamic profile is positionedrotated within ±5° with respect to the radial axis of the vane, alongwhich the coordinate Zadim is measured.
 6. The aerodynamic profile asclaimed in claim 1, wherein the aerodynamic profile is positionedrotated within ±3° with respect to the radial axis of the vane, alongwhich the coordinate Zadim is measured.
 7. The aerodynamic profile asclaimed in claim 1, wherein the vane is a nozzle vane forming a part ofa stator of a turbine.
 8. A turbine vane, presenting the aerodynamicprofile as claimed in claim
 1. 9. A turbine, including turbine vanespresenting aerodynamic profiles as claimed in claim
 1. 10. A turbine asclaimed in claim 9, including a nozzle that is stationary in rotation,having 135 to 155 vanes that present the aerodynamic profiles.
 11. Aturbine as claimed in claim 9, including a nozzle that is stationary inrotation, having 145 vanes that present the aerodynamic profiles.
 12. Aturbine nozzle forming a portion of a turbine stator, wherein all thevanes of the nozzle present the aerodynamic profile as claimed inclaim
 1. 13. A turbine nozzle as claimed in claim 12, including 135 to145 vanes that present the aerodynamic profiles.
 14. A turbine nozzle asclaimed in claim 12, including 145 vanes that present the aerodynamicprofiles.